(-8-6i)(-7-7i)=0

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Solution for (-8-6i)(-7-7i)=0 equation:


Simplifying
(-8 + -6i)(-7 + -7i) = 0

Multiply (-8 + -6i) * (-7 + -7i)
(-8(-7 + -7i) + -6i * (-7 + -7i)) = 0
((-7 * -8 + -7i * -8) + -6i * (-7 + -7i)) = 0
((56 + 56i) + -6i * (-7 + -7i)) = 0
(56 + 56i + (-7 * -6i + -7i * -6i)) = 0
(56 + 56i + (42i + 42i2)) = 0

Combine like terms: 56i + 42i = 98i
(56 + 98i + 42i2) = 0

Solving
56 + 98i + 42i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '14'.
14(4 + 7i + 3i2) = 0

Factor a trinomial.
14((4 + 3i)(1 + i)) = 0

Ignore the factor 14.

Subproblem 1

Set the factor '(4 + 3i)' equal to zero and attempt to solve: Simplifying 4 + 3i = 0 Solving 4 + 3i = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3i = 0 + -4 3i = 0 + -4 Combine like terms: 0 + -4 = -4 3i = -4 Divide each side by '3'. i = -1.333333333 Simplifying i = -1.333333333

Subproblem 2

Set the factor '(1 + i)' equal to zero and attempt to solve: Simplifying 1 + i = 0 Solving 1 + i = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + i = 0 + -1 i = 0 + -1 Combine like terms: 0 + -1 = -1 i = -1 Simplifying i = -1

Solution

i = {-1.333333333, -1}

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